You dead on. Finding the perfect price point for products is critical, not having a clue of what your product value is, the perceived value and what clients are actually willing and able to pay can kill even the best of products and brands.

In short - Yes, you can charge double or triple. Most advisors will suggest what is easiest - don't go too high or you will lose share - I say, you're doing a lot of work already, lets do a little more and make it pay back trifold.
Focus on building a brand, reach out to potential users, offer help, suggestions, promote promote promote in a clear and consistent way. Also, make sure that you do it in the right channels with the right content.
But always avoiding competing on price, matching prices and not being afraid to reject clients.